Abstract

A model of meter perception is presented in which an acoustic signal provides parametric input to a pattern-forming dynamical system. Under rhythmic stimulation, the system undergoes bifurcations that give rise to patterns of self-sustained oscillations. The temporal structure of these patterns reflects the perceived temporal organization of acoustic signals that has been described by both linguists and music theorists [M. Liberman and A. M. Prince, Ling. Inq. 8, 249–336 (1977); F. Lerdahl and R. Jackendoff, Generative Theory of Tonal Music (MIT, Cambridge, 1983)]. These patterns are stable, yet flexible: They can persist in the absence of input and in the face of conflict, yet they can reorganize given a strong indication of a new temporal structure. Both continuous and discrete time models will be discussed and their application to acoustic signals will be demonstrated.

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